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Suppose we run a ridge regression with parameter λ on a single variable X, and get coefficient a. We now include an exact copy X∗ = X, and refit our ridge regression. Show that both coefficients are identical, and derive their value. Show in general that if m copies of a variable Xj are included in a ridge regression, their coefficients are all the same.
To start a business, Tom borrowed $20,000, part at 16% annual interest rate and part at 15%. If the total amount of interest on both loans is $3120, how much did he borrow at 16%?
Evaluate the composite function
A 260 pound weight is supported by two ropes, one forming a 40 degree angle with the ceiling and the other a 50 degree angle
Compare and contrast the value of three separate, grand strategies for your organization. What questions must each grand strategy answer? Who in the organization does the strategy affect and how?
finding the solution for the specified variable in the given equation.1 solve xyza for the variable y.b for the
Find the probability that everyone who appears for the ride will get a seat.
Concern the region bounded by: Find the volume of the solid obtained by rotating the region around the y-axis
Solve each of the following equations for the unknown variable.
Let X be uniform on the set {1/2,1/3,1/4}, and let the distribution of Y |X = x be geometric with parameter x; that is, P(Y = k|X = x) = (1 - x)kx, for k = 0,1,2,..
Graph each absolute value function and state its domain and range.
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
Which of the participants would you judge to be capable? Explain
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